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Indices of terms in A093019 with value 0.
1

%I #15 Aug 17 2021 06:27:02

%S 0,19,24,38,43,57,62,76,81,95,104,118,123,137,142,156,161,175,180,199,

%T 203,217,222,236,241,255,260,279,284,298,302,316,321,335,340,359,364,

%U 378,383,397,401,415,420,439,444,458,463,477,482,496,509,514,528,533

%N Indices of terms in A093019 with value 0.

%C Integers which require a following 0 to have a valid Luhn mod 10 check digit.

%H Reinhard Zumkeller, <a href="/A093020/b093020.txt">Table of n, a(n) for n = 1..10000</a>

%H John Kilgo, <a href="https://web.archive.org/web/20040627030859/http://www.dotnetjohn.com/articles/articleid97.aspx">Using the Luhn Algorithm</a>, DotNetJohn.com.

%H Webopedia, <a href="http://www.webopedia.com/TERM/L/Luhn_formula.html">Luhn formula</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Luhn_algorithm">Luhn algorithm</a>

%H <a href="/index/De#decimal_expansion">Index entries for sequences related to decimal expansion of n</a>

%F A093019(a(n)) = 0. - _Reinhard Zumkeller_, Nov 08 2014

%e 19 is in the sequence because A093019(19)=0; 190 has a valid Luhn mod 10 check digit.

%o (Haskell)

%o a093020 n = a093020_list !! (n-1)

%o a093020_list = filter ((== 0) . a093019) [0..]

%o -- _Reinhard Zumkeller_, Nov 08 2014

%Y Cf. A093017-A093029.

%K easy,nonn,base

%O 1,2

%A _Ray Chandler_, Apr 03 2004

%E Offset changed by _Reinhard Zumkeller_, Nov 08 2014